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We theoretically study the piezoelectric effects in moir\`e graphene systems. Since the strain couples to the electrons in the system as a pseudo vector potential, which has opposite signs for the $K$ and $K'$ valleys of graphene, its…

Mesoscale and Nanoscale Physics · Physics 2021-09-21 Ran Peng , Jianpeng Liu

Single-layer and Bilayer of graphene are new classes of two-dimensional electron systems with unconventional band structures and valley degrees of freedom. The ground states and excitations in the integer and fractional quantum Hall regimes…

Strongly Correlated Electrons · Physics 2015-05-13 Naokazu Shibata , Kentaro Nomura

We show that the valley Chern number of the low energy band in twisted double bilayer graphene can be tuned through two successive topological transitions, where the direct bandgap closes, by changing the electric field perpendicular to the…

Mesoscale and Nanoscale Physics · Physics 2021-05-05 Priyanka Mohan , Unmesh Ghorai , Rajdeep Sensarma

We show that for magic-angle twisted bilayer graphene (TBG) away from charge neutrality, although quantum Monte Carlo (QMC) simulations suffer from the sign problem, the computational complexity is at most polynomial at certain integer…

Strongly Correlated Electrons · Physics 2023-06-22 Xu Zhang , Gaopei Pan , Bin-Bin Chen , Heqiu Li , Kai Sun , Zi Yang Meng

We report on a double quantum dot which is formed in a width-modulated etched bilayer graphene nanoribbon. A number of lateral graphene gates enable us to tune the quantum dot energy levels and the tunneling barriers of the device over a…

Mesoscale and Nanoscale Physics · Physics 2013-03-20 Stefan Fringes , Christian Volk , Bernat Terrés , Jan Dauber , Stephan Engels , Stefan Trellenkamp , Christoph Stampfer

Proximity orbital and spin-orbit effects of bilayer graphene on monolayer WSe$_2$ are investigated from first-principles. We find that the built-in electric field induces an orbital band gap of about 10 meV in bilayer graphene. Remarkably,…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 Martin Gmitra , Jaroslav Fabian

Quantum Hall (QH) and quantum spin Hall (QSH) phases have very different edge states and, when going from one phase to the other, the direction of one edge state must be reversed. We study this phenomena in graphene in presence of a strong…

Mesoscale and Nanoscale Physics · Physics 2012-07-20 Oleksii Shevtsov , Pierre Carmier , Cyril Petitjean , Christoph Groth , David Carpentier , Xavier Waintal

The rich and electrostatically tunable phase diagram exhibited by moir\'e materials has made them a suitable platform for hosting single material multi-purpose devices. To engineer such devices, understanding electronic transport and…

We investigate the electronic confinement in bilayer graphene by topological loops of different shapes. These loops are created by lateral gates acting via gap inversion on the two graphene sheets. For large-area loops the spectrum is well…

Mesoscale and Nanoscale Physics · Physics 2022-01-12 Nassima Benchtaber , David Sánchez , Llorenç Serra

The quantum Hall (QH) effect, the quantum spin Hall (QSH) effect and the quantum valley Hall (QVH) effect are three peculiar topological insulating phases in graphene. They are characterized by three different types of edge states. These…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Yu-Chen Zhuang , Qing-Feng Sun

Graphene and its van der Waals (vdW) heterostructures provide a unique and versatile playground for explorations of strongly correlated electronic phases, ranging from unconventional fractional quantum Hall (FQH) states in a monolayer…

Mesoscale and Nanoscale Physics · Physics 2023-03-17 A. Popert , Y. Shimazaki , M. Kroner , K. Watanabe , T. Taniguchi , A. Imamoğlu , T. Smoleński

Electronic properties of quantum dots (QDs) depend sensitively on their parent materials. Therefore, confined electronic states in graphene QDs (GQDs) of monolayer and Bernal-stacked bilayer graphene are quite different. Twisted bilayer…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Xiao-Feng Zhou , Yi-Wen Liu , Hong-Yi Yan , Zhong-Qiu Fu , Haiwen Liu , Lin He

Strongly interacting two dimensional electron systems (2DESs) host a complex landscape of broken symmetry states. The possible ground states are further expanded by internal degrees of freedom such as spin or valley-isospin. While direct…

Mesoscale and Nanoscale Physics · Physics 2017-11-01 B. M. Hunt , J. I. A. Li , A. A. Zibrov , L. Wang , T. Taniguchi , K. Watanabe , J. Hone , C. R. Dean , M. Zaletel , R. C. Ashoori , A. F. Young

We use a lowest Landau level model to study the recent observation of an anomalous Hall effect in twisted bilayer graphene. This effective model is rooted in the occurrence of Chern bands which arise due to the coupling between the graphene…

Strongly Correlated Electrons · Physics 2020-04-28 Nick Bultinck , Shubhayu Chatterjee , Michael P. Zaletel

We perform transport measurements in high quality bilayer graphene pnp junctions with suspended top gates. At a magnetic field B=0, we demonstrate band gap opening by an applied perpendicular electric field, with an On/Off ratio up to…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Lei Jing , Jairo Velasco , Philip Kratz , Gang Liu , Wenzhong Bao , Marc Bockrath , Chun Ning Lau

A twisted honeycomb bilayer exhibits a moir\'e superstructure that is composed of a hexagonal arrangement of AB and BA stacked domains separated by domain boundaries. In the case of twisted bilayer graphene, the application of an electric…

Mesoscale and Nanoscale Physics · Physics 2025-10-17 Harold J. W. Zandvliet , Pantelis Bampoulis , Cristiane Morais Smith , Lumen Eek

We study an epitaxial graphene monolayer with bilayer inclusions via magnetotransport measurements and scanning gate microscopy at low temperatures. We find that bilayer inclusions can be metallic or insulating depending on the initial and…

We use a quasi-Corbino sample geometry with independent contacts to different edge states in the quantum Hall effect regime to investigate the edge energy spectrum of a bilayer electron system at total filling factor $\nu=2$. By analyzing…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. V. Deviatov , A. Wurtz , A. Lorke , M. Yu. Melnikov , V. T. Dolgopolov , A. Wixforth , K. L. Campman , A. C. Gossard

The inhomogenous real-space electronic structure of gapless and gapped disordered bilayer graphene is calculated in the presence of quenched charge impurities. For gapped bilayer graphene we find that for current experimental conditions the…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 E. Rossi , S. Das Sarma

We employ magnetocapacitance and far-infrared spectroscopy techniques to study the spectrum of the double-layer electron system in a parabolic quantum well with a narrow tunnel barrier in the centre. For gate-bias-controlled asymmetric…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. T. Dolgopolov , A. A. Shashkin , E. V. Deviatov , F. Hastreiter , M. Hartung , A. Wixforth , K. L. Campman , A. C. Gossard